Survival Analysis: CatBoost

Survival Model Dataset

Demographics Table

Trait	Transplanted	WL Mortality	P-value
Gender (% Female)	44.1% (N=4983)	43.1% (N=540)	0.709
Age	4.0 [0.0, 10.5] (N=4983)	0.0 [0.0, 1.6] (N=540)	0.000
Weight	15.0 [0.0, 33.5] (N=4982)	7.6 [2.4, 12.7] (N=540)	0.000
Height	99.0 [55.0, 143.0] (N=4980)	67.0 [45.6, 88.4] (N=540)	0.000
BMI	16.2 [13.7, 18.6] (N=4980)	15.4 [13.6, 17.2] (N=540)	0.000
Blood Type A	36.0% (N=4983)	33.9% (N=540)	0.345
Blood Type B	13.6% (N=4983)	11.5% (N=540)	0.190
Blood Type AB	4.1% (N=4983)	2.2% (N=540)	0.042
Blood Type O	46.2% (N=4983)	52.4% (N=540)	0.007
Race White	53.0% (N=4983)	50.4% (N=540)	0.268
Race Black	20.0% (N=4983)	23.0% (N=540)	0.123
Race Other	3.1% (N=4983)	3.0% (N=540)	1.000
VAD %	13.3% (N=4983)	8.5% (N=540)	0.002
eGFR	96.1 [72.3, 120.0] (N=4966)	82.2 [54.2, 110.2] (N=540)	0.000
Albumin	3.6 [3.1, 4.1] (N=4836)	3.3 [2.8, 3.8] (N=518)	0.000
Dialysis %	1.2% (N=4978)	4.8% (N=540)	0.000
Ventilator %	15.8% (N=4983)	35.0% (N=540)	0.000
ECMO %	4.6% (N=4983)	14.6% (N=540)	0.000

Utility Function for Categorical Indexes

Native CatBoost Model

Data Cleansing

Column at index 11 contains NaN values: True

• Clean/Fix index 11

Optuna Hyperparameter Optimization

• Best is trial #12/50 with value: 0.74

model_params_native = {
    'learning_rate': 0.15,
    'depth': 8,
    'colsample_bylevel': 0.75,
    'min_data_in_leaf': 95,
    'l2_leaf_reg': 10.54
}
    

Model

#| eval: true
#| echo: false
#| message: false
#| warning: false

import numpy as np
from sklearn.model_selection import train_test_split, StratifiedKFold
import pandas as pd
import optuna
from catboost import CatBoostClassifier, Pool


model_auc = CatBoostClassifier(objective='Logloss',
                               iterations=1000,
                               eval_metric="AUC",
                               **model_params_native, 
                               boosting_type='Ordered',
                               bootstrap_type='MVS',
                               metric_period=25,
                               early_stopping_rounds=100,
                               use_best_model=False, 
                               random_seed=1997)

# Create a Pool object for the training and testing data
train_pool = Pool(X_train, cat_features=cat_index, label=Y_train)
test_pool = Pool(X_test, cat_features=cat_index, label=Y_test)
 

model_auc.fit(train_pool, eval_set=test_pool)

Warning: Overfitting detector is active, thus evaluation metric is calculated on every iteration. 'metric_period' is ignored for evaluation metric.
0:  test: 0.6234443 best: 0.6234443 (0) total: 184ms    remaining: 3m 3s
25: test: 0.7215217 best: 0.7221167 (24)    total: 1.33s    remaining: 50s
50: test: 0.7234322 best: 0.7259924 (37)    total: 2.5s remaining: 46.5s
75: test: 0.7192891 best: 0.7259924 (37)    total: 3.95s    remaining: 48.1s
100:    test: 0.7195511 best: 0.7259924 (37)    total: 5.64s    remaining: 50.2s
125:    test: 0.7081423 best: 0.7259924 (37)    total: 7.33s    remaining: 50.8s
Stopped by overfitting detector  (100 iterations wait)

bestTest = 0.7259924014
bestIteration = 37

<catboost.core.CatBoostClassifier object at 0x0000028C8E6C3E00>

Calibration Plot

Decision Threshold

Optimal Threshold: 0.08404186 

Number of '1's predicted: 360 

Calibrated Model Metrics

             Model       AUC  ...  False Negative (FN)  True Positive (TP)
0  Native_Catboost  0.707553  ...                   35                  67

[1 rows x 13 columns]

SHAP Feature Importance

# Retrieve the ranked comparison dataframe from Python
shap_df <- py$shap_df

# Convert the pandas dataframe to an R tibble
shap_tbl <- as_tibble(shap_df) %>% 
  mutate(SHAP_Importance = abs(Importance_SHAP)) %>% 
  arrange(-SHAP_Importance)

# Create a formatted table using huxtable, including the ranks for each method and the 'Direction' column
shap_table <- shap_tbl %>%
  rowid_to_column(var = "Overall Rank") %>%
  select('Overall Rank', 'Feature Id', 
         'Importance_SHAP', 'SHAP_Direction',
         'SHAP_Importance'
 ) 

shap_table %>% 
  DT::datatable(
    rownames = FALSE,
    options = list(
      columnDefs = list(
        list(className = 'dt-center', targets = "_all")
      )
    )
  )

CatBoost - One Hot Encoding (Hybrid)

• Train

 [1] "Gender"     "Race"       "Blood_Type" "VAD_TCR"    "WL_Oth_Org"
 [6] "Cereb_Vasc" "Diabetes"   "Diag_Code"  "XMatch_Req" "List_Ctr"  

[1] "Race"       "Blood_Type" "Diag_Code" 

'data.frame':   4523 obs. of  44 variables:
 $ outcome                                           : int  0 0 0 1 0 1 0 1 1 1 ...
 $ Age                                               : num  1 0 0 0 2 0 1 11 0 0 ...
  ..- attr(*, "label")= chr "WL AGE AT LISTING IN YEARS"
 $ Gender                                            : Factor w/ 2 levels "F","M": 1 2 2 2 1 2 1 1 1 2 ...
 $ Weight                                            : num  6.71 3.02 6.6 6 19.4 ...
 $ Height                                            : num  72 49.5 66 57 97.5 ...
 $ BMI                                               : num  12.9 12.3 15.2 18.5 20.4 ...
 $ BSA                                               : num  0.366 0.204 0.348 0.308 0.725 ...
 $ PGE_TCR                                           : num  0 0 0 0 0 0 0 0 0 0 ...
  ..- attr(*, "label")= chr "TCR PGE AT LISTING"
 $ ECMO_Reg                                          : num  0 0 0 1 0 0 0 0 0 0 ...
  ..- attr(*, "label")= chr "TCR ECMO AT LISTING"
 $ VAD                                               : num  -1 -1 -1 -1 -1 -1 -1 1 -1 1 ...
 $ VAD_TCR                                           : Factor w/ 5 levels "LVAD","LVAD+RVAD",..: 3 3 3 3 3 3 3 1 3 2 ...
 $ Vent_Reg                                          : num  0 0 0 0 0 0 0 0 0 1 ...
  ..- attr(*, "label")= chr "TCR LIFE SUPPORT VENTILATOR"
 $ WL_Oth_Org                                        : Factor w/ 2 levels "No","Yes": 2 1 1 2 1 1 1 1 1 1 ...
 $ Cereb_Vasc                                        : Factor w/ 3 levels "No","Unknown",..: 1 1 1 1 1 1 1 1 1 1 ...
 $ Diabetes                                          : Factor w/ 5 levels "None","Type I",..: 1 1 1 1 1 1 1 1 1 1 ...
 $ Dialysis                                          : num  -1 -1 -1 1 -1 -1 -1 -1 -1 -1 ...
 $ Inotrop                                           : num  0 0 0 0 1 0 1 0 1 0 ...
  ..- attr(*, "label")= chr "TCR IV INOTROPES AT LISTING"
 $ Creatinine                                        : num  0.13 0.46 0.28 0.67 0.42 0.34 0.34 0.5 0.22 0.21 ...
  ..- attr(*, "label")= chr "TCR MOST RECENT CREAT."
 $ eGFR                                              : num  228.2 44.3 97.1 35.1 95.6 ...
  ..- attr(*, "label")= chr "TCR MOST RECENT CREAT."
 $ Albumin                                           : num  4.4 3.7 3 3.8 4.6 3.9 4.6 3.6 3.2 3.2 ...
  ..- attr(*, "label")= chr "TCR TOTAL SERUM ALBUMIN AT LISTING (Pre 1/1/2007 for adult)"
 $ Prior_HRTX                                        : num  15 2 13 18 13 15 30 11 27 16 ...
 $ Med_Refusals                                      : num  3 8 4 15 5 3 5 5 4 4 ...
 $ Prop_Refusals                                     : num  0.864 0.951 0.852 0.972 0.882 ...
 $ XMatch_Req                                        : Factor w/ 2 levels "No","Yes": 1 1 1 1 1 1 1 1 1 1 ...
 $ List_Yr                                           : num  2020 2020 2020 2020 2020 2020 2020 2020 2020 2020 ...
 $ Policy_Chg                                        : num  1 1 1 1 1 1 1 1 1 1 ...
 $ List_Ctr                                          : Factor w/ 89 levels "ahbent","alfoba",..: 61 34 37 69 16 61 21 71 66 36 ...
 $ Race.Asian                                        : num  0 0 0 0 0 0 0 0 0 0 ...
 $ Race.Black                                        : num  0 0 1 0 0 0 0 0 0 0 ...
 $ Race.Hispanic                                     : num  0 0 0 0 0 1 0 0 0 0 ...
 $ Race.Other                                        : num  0 0 0 0 0 0 0 1 0 0 ...
 $ Race.White                                        : num  1 1 0 1 1 0 1 0 1 1 ...
 $ Blood_Type.A                                      : num  0 0 0 1 0 0 0 0 1 0 ...
 $ Blood_Type.AB                                     : num  0 0 0 0 0 0 0 0 0 0 ...
 $ Blood_Type.B                                      : num  0 0 0 0 0 0 0 0 0 0 ...
 $ Blood_Type.O                                      : num  1 1 1 0 1 1 1 1 0 1 ...
 $ Diag_Code.Congenital Heart Disease With Surgery   : num  1 1 1 1 1 0 0 0 0 0 ...
 $ Diag_Code.Congenital Heart Disease Without Surgery: num  0 0 0 0 0 0 0 0 0 0 ...
 $ Diag_Code.Dilated Cardiomyopathy                  : num  0 0 0 0 0 1 1 1 0 1 ...
 $ Diag_Code.Hypertrophic Cardiomyopathy             : num  0 0 0 0 0 0 0 0 1 0 ...
 $ Diag_Code.Myocarditis                             : num  0 0 0 0 0 0 0 0 0 0 ...
 $ Diag_Code.Other                                   : num  0 0 0 0 0 0 0 0 0 0 ...
 $ Diag_Code.Restrictive Cardiomyopathy              : num  0 0 0 0 0 0 0 0 0 0 ...
 $ Diag_Code.Valvular Heart Disease                  : num  0 0 0 0 0 0 0 0 0 0 ...

'data.frame':   4523 obs. of  44 variables:
 $ outcome      : int  0 0 0 1 0 1 0 1 1 1 ...
 $ Age          : num  1 0 0 0 2 0 1 11 0 0 ...
  ..- attr(*, "label")= chr "WL AGE AT LISTING IN YEARS"
 $ Gender       : Factor w/ 2 levels "F","M": 1 2 2 2 1 2 1 1 1 2 ...
 $ Weight       : num  6.71 3.02 6.6 6 19.4 ...
 $ Height       : num  72 49.5 66 57 97.5 ...
 $ BMI          : num  12.9 12.3 15.2 18.5 20.4 ...
 $ BSA          : num  0.366 0.204 0.348 0.308 0.725 ...
 $ PGE_TCR      : num  0 0 0 0 0 0 0 0 0 0 ...
  ..- attr(*, "label")= chr "TCR PGE AT LISTING"
 $ ECMO_Reg     : num  0 0 0 1 0 0 0 0 0 0 ...
  ..- attr(*, "label")= chr "TCR ECMO AT LISTING"
 $ VAD          : num  -1 -1 -1 -1 -1 -1 -1 1 -1 1 ...
 $ VAD_TCR      : Factor w/ 5 levels "LVAD","LVAD+RVAD",..: 3 3 3 3 3 3 3 1 3 2 ...
 $ Ventilator   : num  0 0 0 0 0 0 0 0 0 1 ...
  ..- attr(*, "label")= chr "TCR LIFE SUPPORT VENTILATOR"
 $ WL_Oth_Org   : Factor w/ 2 levels "No","Yes": 2 1 1 2 1 1 1 1 1 1 ...
 $ Cereb_Vasc   : Factor w/ 3 levels "No","Unknown",..: 1 1 1 1 1 1 1 1 1 1 ...
 $ Diabetes     : Factor w/ 5 levels "None","Type I",..: 1 1 1 1 1 1 1 1 1 1 ...
 $ Dialysis     : num  -1 -1 -1 1 -1 -1 -1 -1 -1 -1 ...
 $ Inotrop      : num  0 0 0 0 1 0 1 0 1 0 ...
  ..- attr(*, "label")= chr "TCR IV INOTROPES AT LISTING"
 $ Creatinine   : num  0.13 0.46 0.28 0.67 0.42 0.34 0.34 0.5 0.22 0.21 ...
  ..- attr(*, "label")= chr "TCR MOST RECENT CREAT."
 $ eGFR         : num  228.2 44.3 97.1 35.1 95.6 ...
  ..- attr(*, "label")= chr "TCR MOST RECENT CREAT."
 $ Albumin      : num  4.4 3.7 3 3.8 4.6 3.9 4.6 3.6 3.2 3.2 ...
  ..- attr(*, "label")= chr "TCR TOTAL SERUM ALBUMIN AT LISTING (Pre 1/1/2007 for adult)"
 $ Txp_Volume   : num  15 2 13 18 13 15 30 11 27 16 ...
 $ Med_Refusals : num  3 8 4 15 5 3 5 5 4 4 ...
 $ Prop_Refusals: num  0.864 0.951 0.852 0.972 0.882 ...
 $ XMatch_Req   : Factor w/ 2 levels "No","Yes": 1 1 1 1 1 1 1 1 1 1 ...
 $ List_Yr      : num  2020 2020 2020 2020 2020 2020 2020 2020 2020 2020 ...
 $ Policy_Chg   : num  1 1 1 1 1 1 1 1 1 1 ...
 $ Listing_Ctr  : Factor w/ 89 levels "ahbent","alfoba",..: 61 34 37 69 16 61 21 71 66 36 ...
 $ Race_Asian   : num  0 0 0 0 0 0 0 0 0 0 ...
 $ Race_Black   : num  0 0 1 0 0 0 0 0 0 0 ...
 $ Race_Hispanic: num  0 0 0 0 0 1 0 0 0 0 ...
 $ Race_Other   : num  0 0 0 0 0 0 0 1 0 0 ...
 $ Race_White   : num  1 1 0 1 1 0 1 0 1 1 ...
 $ Blood_Type_A : num  0 0 0 1 0 0 0 0 1 0 ...
 $ Blood_Type_AB: num  0 0 0 0 0 0 0 0 0 0 ...
 $ Blood_Type_B : num  0 0 0 0 0 0 0 0 0 0 ...
 $ Blood_Type_O : num  1 1 1 0 1 1 1 1 0 1 ...
 $ CHD_Surgery  : num  1 1 1 1 1 0 0 0 0 0 ...
 $ CHD_NoSurgery: num  0 0 0 0 0 0 0 0 0 0 ...
 $ DCM          : num  0 0 0 0 0 1 1 1 0 1 ...
 $ HCM          : num  0 0 0 0 0 0 0 0 1 0 ...
 $ Myocard      : num  0 0 0 0 0 0 0 0 0 0 ...
 $ Other_Diag   : num  0 0 0 0 0 0 0 0 0 0 ...
 $ RCM          : num  0 0 0 0 0 0 0 0 0 0 ...
 $ VHD          : num  0 0 0 0 0 0 0 0 0 0 ...

• Test

Hybrid CatBoost Model

#| echo: false
#| warning: false
#| message: false

import numpy as np

# initialize Train and Test datasets
hybrid_X_train = r.hybrid_train_data
hybrid_y_train = r.hybrid_train_Y
hybrid_Y_train = np.array(hybrid_y_train)  

hybrid_X_test = r.hybrid_test_data
hybrid_y_test = r.hybrid_test_Y
hybrid_Y_test = np.array(hybrid_y_test) 

hybrid_cat_index = get_categorical_indexes(hybrid_X_train)

Feature names are consistent between training and test datasets.

Data Cleansing

Column at index 37 contains NaN values: True

Optuna Hyperparameter Optimization

Model

• From Optuna Trial #36/50 with value: 0.74

model_params_hybrid = {
    'learning_rate': 0.03,
    'depth': 4,
    'colsample_bylevel': 0.12,
    'min_data_in_leaf': 44,
    'l2_leaf_reg': 5.66
}
    

Warning: Overfitting detector is active, thus evaluation metric is calculated on every iteration. 'metric_period' is ignored for evaluation metric.
0:  test: 0.5891032 best: 0.5891032 (0) total: 25.6ms   remaining: 25.5s
Stopped by overfitting detector  (50 iterations wait)

bestTest = 0.7386785449
bestIteration = 255

<catboost.core.CatBoostClassifier object at 0x0000028C8E6F8560>

Calibration Plot

import pandas as pd

Y_Pred_hybrid = hybrid_model.predict(hybrid_X_test)
Y_Pred_Proba_hybrid = hybrid_model.predict_proba(hybrid_X_test)[:, 1]  # get the probabilities of the positive class


Y_Pred_Proba_Positive_hybrid = hybrid_model.predict_proba(hybrid_X_test)[:, 1]  # Probabilities of the positive class
Y_Pred_Proba_Negative_hybrid = hybrid_model.predict_proba(hybrid_X_test)[:, 0]  # Probabilities of the negative class

# Converting predictions and actuals into a DataFrame for better readability, including negative class probabilities
hybrid_predictions = pd.DataFrame({
    'Prob_Negative_Class': Y_Pred_Proba_Negative_hybrid,
    'Prob_Positive_Class': Y_Pred_Proba_Positive_hybrid,
    'Predicted': Y_Pred_hybrid,
    'Actual': hybrid_y_test
})

hybrid_predictions <- py$hybrid_predictions %>% 
  mutate(Class = ifelse(Actual == 0, "survive", "not_survive"),
         .pred_not_survive = Prob_Positive_Class
         )

# Define the levels you want
factor_levels <- c("survive", "not_survive")

# Set the levels of the 'actuals' column
hybrid_predictions$Class <- factor(hybrid_predictions$Class, levels = rev(factor_levels))

hybrid_predictions %>% 
  cal_plot_logistic(Class, .pred_not_survive)

Decision Threshold

Optimal Threshold: 0.09491983 

Number of '1's predicted: 430 

Calibrated Model Metrics

             Model       AUC  ...  False Negative (FN)  True Positive (TP)
0  Hybrid_Catboost  0.735938  ...                   27                  75

[1 rows x 13 columns]

Final Feature Importances

# Retrieve the ranked comparison dataframe from Python
final_shap_df <- py$final_shap_df

# Convert the pandas dataframe to an R tibble
final_shap_tbl <- as_tibble(final_shap_df) %>% 
  arrange(desc(Importance))

# Create a formatted table using huxtable, including the ranks for each method and the 'Direction' column
final_shap_table <- final_shap_tbl %>%
  rowid_to_column(var = "Overall Rank") %>%
  select('Feature Id', 'Importance') 

final_shap_table %>% 
  DT::datatable(
    rownames = FALSE,
    options = list(
      columnDefs = list(
        list(className = 'dt-center', targets = "_all")
      )
    )
  )

Cluster Function for Top Features

# Function to cluster data based on optimal clusters
final_clustering <- function(data, optimal_k) {
  # Perform k-means clustering with the optimal number of clusters
  kmeans_res <- kmeans(as.matrix(data), centers = optimal_k, nstart = 25)
  return(kmeans_res$cluster)
}

optimal_k <- 3

# Perform clustering using the optimal number of clusters
final_shap_df <- final_shap_df %>%
  mutate(Cluster = final_clustering(select(., Importance), optimal_k))

# View the clustered data
final_shap_df %>% 
  DT::datatable(
    rownames = FALSE,
    options = list(
      columnDefs = list(
        list(className = 'dt-center', targets = "_all")
      )
    )
  )

‘ECMO_Reg’ is the cutoff feature based on WCSS (within-cluster sum of squares). However we can include a few more additional features that may be potential reasons for ‘Med_Refusals’ as we have several variables that are correlated. For this reason we will set final cutoff at ‘Txp_Volume’ or .02 value for Feature Importance.

CatBoost Model Accuracy Summary

model_accuracy

Model	AUC	Brier Score	Accuracy	Log Loss	F1 Score	Precision	Recall	AUPR
Native_Catboost	0.708	0.0874	0.672	0.308	0.29	0.186	0.657	0.222
Hybrid_Catboost	0.736	0.0839	0.618	0.294	0.282	0.174	0.735	0.294

model_confusion_matrix

Model	True Negative (TN)	False Positive (FP)	False Negative (FN)	True Positive (TP)
Native_Catboost	605	293	35	67
Hybrid_Catboost	543	355	27	75

SHAP Value Analysis

feature_names = shap_values.feature_names

# Replace '_' with ' ' in each feature name
updated_feature_names = [name.replace('_', ' ') for name in feature_names]

shap_values.feature_names = updated_feature_names

Mean Absolute Value Feature Importance

library(ggplot2)
library(plotly)
library(dplyr)


# ggplot bar chart object
p <- ggplot(final_shap_df, aes(x = reorder(`Feature Id`, -Importance), y = Importance, fill = `Feature Id`)) +
  geom_bar(stat = "identity") +
  geom_hline(yintercept = 0.02, linetype = "dashed", color = "red") +  # Add cutoff line
  annotate("text", x = 33.5, y = 0.025, label = "Cutoff@0.02 (Txp_Volume)", color = "red", hjust = 0) +  # Add annotation
  labs(title = "Sorted Mean Absolute SHAP Values", x = "Features", y = "Mean Absolute SHAP Value") +
  theme_minimal() +
  theme(axis.text.x = element_text(angle = 45, hjust = 1), legend.position = "none")  # Adjust text angle for better readability

# Interactive plotly object
p_interactive <- ggplotly(p, tooltip = c("x", "y"))  # Hover effects with tooltips for both feature name and value

# Display the interactive plot
p_interactive

# Save the interactive plot as HTML
htmlwidgets::saveWidget(p_interactive, "sorted_shap_values_interactive.html")

Beeswarm (Top Features - Categorical and Numerical)

Figure 1: Beeswarm Chart

Bar Chart for Feature Importance

Figure 2: Feature Importance Chart

Beeswarm Top Numerical Features

Figure 3: Numerical Beeswarm Chart

Feature Importance Correlation Plot

Figure 4: SHAP Value Correlation Plot

SHAP Partial Dependence Plots

SHAP Partial Dependence Plots

Numeric Plotting Function

library(ggplot2)
library(cowplot)
library(patchwork)
library(units)

create_pdp_numeric <- function(feature_name, pdp_data_df, pdp_shap_df, save_plots = TRUE) {
  
  # Set the threshold for outlier removal based on Z-score
  threshold <- 3
  
  # Check if the feature is present in both test_data and pdp_shap_data
  if (!feature_name %in% colnames(pdp_data_df) || !feature_name %in% colnames(pdp_shap_df)){
    stop(paste("Feature", feature_name, "not found in the data."))
  }
  
  # Dataframe for the feature values and corresponding SHAP values
  pdp_shap_data_feature <- data.frame(
    feature_value = pdp_data_df[[feature_name]],  # Original feature values
    shap_value = pdp_shap_df[[feature_name]]  # SHAP values
  )
  
  # Remove rows with NA values in either feature_value or shap_value
  pdp_shap_data_feature <- na.omit(pdp_shap_data_feature)
  
  if (feature_name == 'eGFR'){
    pdp_shap_data_feature <- pdp_shap_data_feature[pdp_shap_data_feature$feature_value < 400, ]
  }
  
  # Define unit labels for axis titles only
  unit_labels <- list(
    eGFR = "ml/min/1.73m^2",
    Albumin = "g/dL",
    Height = "cm",
    Weight = "kgs",
    Age = "years",
    BSA = "m^2",
    BMI = "kg/m^2"
  )
  
  # Get the appropriate unit label for the feature
  unit_label <- unit_labels[[feature_name]]
  
  # Scatter plot using ggplot2
  scatter_plot <- ggplot(pdp_shap_data_feature, aes(x = feature_value, y = shap_value)) +
    geom_point(color = 'blue', alpha = 0.6) + 
    scale_x_continuous(breaks = function(x) pretty(x, n = 10)) +
    scale_y_continuous() +  
    labs(x = if (!is.null(unit_label) && unit_label != "") 
           paste(feature_name, " Values (", unit_label, ")", sep = "") 
         else 
           paste(feature_name, "Values"),
       y = "SHAP Values",
       title = paste("SHAP Partial Dependency Plot for", feature_name)) +
  theme_minimal()  
  
  # Create marginal histogram for the bottom (x-axis)
  histogram_plot <- ggplot(pdp_shap_data_feature, aes(x = feature_value)) +
    geom_histogram(fill = "grey", bins = 30) +
    theme_minimal() +
    labs(x = paste(feature_name, "Values (", unit_label, ")", sep = ""), y = "Count")
  
  # Remove axis labels, ticks, and gridlines from the histogram to clean up appearance
  histogram_plot <- histogram_plot +
    theme(
      axis.title.x = element_blank(),
      axis.text.x = element_blank(),
      axis.ticks.x = element_blank(),
      axis.title.y = element_blank(),
      axis.text.y = element_blank(),
      axis.ticks.y = element_blank(),
      panel.grid = element_blank(), 
      plot.margin = margin(5, 5, 5, 5)
    )
  
  combined_plot <- scatter_plot / histogram_plot + plot_layout(heights = c(20, 1))
  
  # Display the plot
  print(combined_plot)
  
  # Save the plot as a PNG file
  if (save_plots) {
    ggsave(paste0("images/dependence_plots/shap_plot_numeric_", feature_name, ".png"), combined_plot)
  }
}

feature_to_plot <- "List Yr" 

create_pdp_numeric(feature_to_plot, pdp_data_df, pdp_shap_df, save_plots = TRUE)

Categorical Plotting Function

library(ggplot2)
library(dplyr)

# Function to create a partial dependency plot for categorical features
create_pdp_categorical <- function(feature_name, pdp_data_df, pdp_shap_df, save_plot = TRUE, plot_width = 5, plot_height = 4) {
  
  # Check if the feature is present in both test_data and pdp_shap_data
  if (!feature_name %in% colnames(pdp_data_df) || !feature_name %in% colnames(pdp_shap_df)) {
    stop(paste("Feature", feature_name, "not found in the data."))
  }
  
  # Create a dataframe for the feature values and corresponding SHAP values
  pdp_shap_data_feature <- data.frame(
    feature_value = pdp_data_df[[feature_name]],  # Actual feature values (categories)
    shap_value = pdp_shap_df[[feature_name]]  # Corresponding SHAP values
  )
  
  # Define unit labels for axis titles only
  cat_labels <- list(
    DCM = "Dilated Cardiomyopathy",
    HCM = "Hypertrophic Cardiomyopathy",
    ECMO = "ECMO Cardiogram",
    RCM = "Restrictive Cardiomyopathy",
    Myocard = "Myocardium",
    Defib = "Defibrillator",
   `VAD REG` = "Ventricular Assist Device (VAD) at Registration",
   `VAD TCR` = "Ventricular Assist Device (VAD) at Listing",
    VHD = "Valvular Heart Disease (VHD)",
   `XMatch Req` = "Transplant Match Requested"
  )
  
  # Get the appropriate unit label for the feature
  cat_label <- cat_labels[[feature_name]]
  
  # Calculate the mean SHAP value for each category
  pdp_shap_summary <- pdp_shap_data_feature %>%
    group_by(feature_value) %>%
    summarize(mean_shap = mean(shap_value, na.rm = TRUE), .groups = 'drop')
  
  # Create the plot
  plot <- ggplot(pdp_shap_summary, aes(x = reorder(feature_value, mean_shap), y = mean_shap, fill = feature_value)) +
    geom_bar(stat = "identity", show.legend = FALSE) +
    
    # Set axis labels and title
    labs(
      x = if (!is.null(cat_label) && cat_label != "") 
           cat_label 
         else 
           paste(feature_name, "Categories"),
      y = "Mean SHAP Value",
      title = paste("Partial Dependency Plot for", feature_name)
    ) +
    
    # Apply minimal theme and customize appearance
    theme_minimal() +
    theme(
      panel.grid = element_blank(),  # Remove gridlines if desired
      axis.text.x = if (feature_name == "Listing Ctr") element_blank() else element_text(angle = 45, hjust = 1),
      axis.title.x = if (feature_name == "Listing Ctr") element_blank() else element_text(),
      axis.ticks.x = if (feature_name == "Listing Ctr") element_blank() else element_line(),
      axis.text.y = element_text(),
      axis.title.y = element_text()
    )
  
  # Display the plot
  print(plot)
  
  # Save the plot if required
  if (save_plot) {
    ggsave(paste0("images/dependence_plots/shap_plot_categorical_", feature_name, ".png"), plot, width = plot_width, height = plot_height)
  }
}

create_pdp_categorical("VAD TCR", pdp_data_df, pdp_shap_df)

Final Shap Value Partial Dependency Plotting Function

# Function to determine the type of feature and call the appropriate plotting function for multiple features
create_shap_pdp_plots <- function(feature_names, pdp_data_df, pdp_shap_data, save_plots = TRUE) {
  
  # Loop over each feature in the feature_names list
  for (feature_name in feature_names) {
    
    # Check if the feature is present in test_data
    if (!feature_name %in% colnames(pdp_data_df)) {
      message(paste("Feature", feature_name, "not found in the data. Skipping..."))
      next  # Skip this feature if not found
    }
    
    # Determine if the feature is numeric or categorical
    if (is.numeric(pdp_data_df[[feature_name]])) {
      # If numeric, call the numeric plotting function
      create_pdp_numeric(feature_name, pdp_data_df, pdp_shap_data, save_plots = TRUE)
    } else if (is.factor(pdp_data_df[[feature_name]]) || is.character(pdp_data_df[[feature_name]])) {
      # If categorical, call the categorical plotting function
      create_pdp_categorical(feature_name, pdp_data_df, pdp_shap_data, save_plot = TRUE, plot_width = 5, plot_height = 4)
    } else {
      message(paste("Unsupported data type for feature:", feature_name, "Skipping..."))
    }
  }
}

features <- py$updated_feature_names
features

create_shap_pdp_plots(features, pdp_data_df, pdp_shap_df, save_plots = TRUE)